112202221100200 has 768 divisors, whose sum is σ = 335437259927040. Its totient is φ = 33897553920000.

The previous prime is 112202221100147. The next prime is 112202221100237. The reversal of 112202221100200 is 2001122202211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15555551794 + ... + 15555559006.

It is an arithmetic number, because the mean of its divisors is an integer number (436767265530).

Almost surely, 2^{112202221100200} is an apocalyptic number.

112202221100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112202221100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167718629963520).

112202221100200 is an abundant number, since it is smaller than the sum of its proper divisors (223235038826840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112202221100200 is a wasteful number, since it uses less digits than its factorization.

112202221100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112202221100200 its reverse (2001122202211), we get a palindrome (114203343302411).

It can be divided in two parts, 1122022 and 21100200, that added together give a palindrome (22222222).

The spelling of 112202221100200 in words is "one hundred twelve trillion, two hundred two billion, two hundred twenty-one million, one hundred thousand, two hundred".